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Multi-objective dispatching optimization of district heating systems based on thermal energy quality coefficients

Author

Listed:
  • Lin, Quanyi
  • Yue, Lu
  • Ma, Yuge
  • Wang, Ran
  • Lu, Shilei

Abstract

Given the urgent need for renewable integration and flexible operation in energy systems, the low-carbon dispatching of district heating systems and the optimization of energy flow distribution have emerged as key research directions. Existing studies often overlook the dual attributes of thermal energy—its quantity and quality—thereby limiting the potential for comprehensive energy utilization. To address this issue, this paper proposes a multi-objective optimization framework for district heating systems that integrates exergy efficiency with economic performance. By establishing a "thermal energy quality coefficient"-based exergy evaluation model and formulating cascade thermal energy "supply-storage-utilization" balance constraints, the proposed approach optimizes the system dispatching strategies while reducing optimization complexity through convexification transformation. A case study conducted in an educational park in Tianjin, China, demonstrates that the proposed method achieves a 9.22% improvement in exergy efficiency, a 3.27% reduction in dispatching costs, and a 26.75% decrease in carbon emissions compared to conventional strategies. The combination of the Ɛ-constraint and TOPSIS decision-making methods effectively addresses the multi-objective optimization problem, thereby avoiding local optima. This work provides a novel theoretical framework for enhancing comprehensive energy utilization benefits and decarbonization in district heating systems, offering practical guidance for a sustainable energy transition.

Suggested Citation

  • Lin, Quanyi & Yue, Lu & Ma, Yuge & Wang, Ran & Lu, Shilei, 2026. "Multi-objective dispatching optimization of district heating systems based on thermal energy quality coefficients," Energy, Elsevier, vol. 349(C).
  • Handle: RePEc:eee:energy:v:349:y:2026:i:c:s0360544226007486
    DOI: 10.1016/j.energy.2026.140645
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    References listed on IDEAS

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    1. Du, Han & Zhou, Xinlei & Nord, Natasa & Carden, Yale & Cui, Ping & Ma, Zhenjun, 2025. "Development of a robust data-driven surrogate model to improve energy flexibility of an integrated district heating system with a thermal storage system," Energy, Elsevier, vol. 336(C).
    2. Höffner, Dorian & Glombik, Sebastian, 2024. "Energy system planning and analysis software—A comprehensive meta-review with special attention to urban energy systems and district heating," Energy, Elsevier, vol. 307(C).
    3. Li, Zhengmao & Xu, Yan, 2018. "Optimal coordinated energy dispatch of a multi-energy microgrid in grid-connected and islanded modes," Applied Energy, Elsevier, vol. 210(C), pages 974-986.
    4. Voloshchuk, Volodymyr & Gullo, Paride & Sereda, Volodymyr, 2020. "Advanced exergy-based performance enhancement of heat pump space heating system," Energy, Elsevier, vol. 205(C).
    5. Fazlollahi, Samira & Becker, Gwenaelle & Ashouri, Araz & Maréchal, François, 2015. "Multi-objective, multi-period optimization of district energy systems: IV – A case study," Energy, Elsevier, vol. 84(C), pages 365-381.
    6. Wang, Yongli & Huang, Feifei & Tao, Siyi & Ma, Yang & Ma, Yuze & Liu, Lin & Dong, Fugui, 2022. "Multi-objective planning of regional integrated energy system aiming at exergy efficiency and economy," Applied Energy, Elsevier, vol. 306(PB).
    7. Zhang, Yachao & Liu, Yan & Shu, Shengwen & Zheng, Feng & Huang, Zhanghao, 2021. "A data-driven distributionally robust optimization model for multi-energy coupled system considering the temporal-spatial correlation and distribution uncertainty of renewable energy sources," Energy, Elsevier, vol. 216(C).
    8. Li, Haoran & Zhang, Chenghui & Sun, Bo, 2022. "Deep integration planning of sustainable energies in district energy system and distributed energy station," Renewable and Sustainable Energy Reviews, Elsevier, vol. 154(C).
    9. Cui, Yunfei & Geng, Zhiqiang & Zhu, Qunxiong & Han, Yongming, 2017. "Review: Multi-objective optimization methods and application in energy saving," Energy, Elsevier, vol. 125(C), pages 681-704.
    10. Thommessen, Christian & Verheyen, Joana & Roes, Jürgen & Hoster, Harry, 2025. "Estimating the value of novel heat sources in district heating systems from the perspective of energy utilities using a merit order approach," Applied Energy, Elsevier, vol. 401(PA).
    11. Yu, Taize & Chen, Xi & Liu, Xiaoran & Chen, Hongbo & Tang, Shiyi & Cui, Lihang & Liu, Haijiao & Niu, Kunyu & Deng, Xiaoshang, 2025. "Dynamic relationship between renewable energy, economic development, and energy security based on SVAR and ARDL-ECM models: Evidence from China," Applied Energy, Elsevier, vol. 402(PA).
    12. Abdelghani, Diaa & Koohi-Fayegh, Seama & Lund, Henrik & Sorknæs, Peter, 2026. "A review on optimization of district energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 225(C).
    13. Qin, Chao & Yan, Qingyou & He, Gang, 2019. "Integrated energy systems planning with electricity, heat and gas using particle swarm optimization," Energy, Elsevier, vol. 188(C).
    14. Christensen, Toke Borg Kjær & Lund, Henrik & Sorknæs, Peter, 2024. "The role of thermal energy storages in future smart energy systems," Energy, Elsevier, vol. 313(C).
    15. Hu, Hejuan & Sun, Xiaoyan & Zeng, Bo & Gong, Dunwei & Zhang, Yong, 2022. "Enhanced evolutionary multi-objective optimization-based dispatch of coal mine integrated energy system with flexible load," Applied Energy, Elsevier, vol. 307(C).
    16. Ma, Huan & Sun, Qinghan & Chen, Qun & Zhao, Tian & He, Kelun, 2023. "Exergy-based flexibility cost indicator and spatio-temporal coordination principle of distributed multi-energy systems," Energy, Elsevier, vol. 267(C).
    17. Park, S.R. & Pandey, A.K. & Tyagi, V.V. & Tyagi, S.K., 2014. "Energy and exergy analysis of typical renewable energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 30(C), pages 105-123.
    18. Song, Guohui & Xiao, Jun & Zhao, Hao & Shen, Laihong, 2012. "A unified correlation for estimating specific chemical exergy of solid and liquid fuels," Energy, Elsevier, vol. 40(1), pages 164-173.
    19. Shen, Pengyuan & Ji, Yuchen & Zhong, Menglei, 2025. "Performance of district energy system under changing climate: A case study of Shenzhen," Applied Energy, Elsevier, vol. 379(C).
    20. Wu, Tianyu & Han, Fengwu & Zhao, Yunlong & Yu, Zishuo, 2025. "A decarbonization-oriented and uncertainty-aware energy management strategy for multi-district integrated energy systems with fair peer-to-peer trading," Energy, Elsevier, vol. 323(C).
    21. Zhang, Zhaoyan & Wang, Peiguang & Jiang, Ping & Liu, Zhiheng & Fu, Lei, 2022. "Energy management of ultra-short-term optimal scheduling of integrated energy system considering the characteristics of heating network," Energy, Elsevier, vol. 240(C).
    22. Guelpa, Elisa & Verda, Vittorio, 2019. "Thermal energy storage in district heating and cooling systems: A review," Applied Energy, Elsevier, vol. 252(C), pages 1-1.
    23. Jokinen, Ilkka & Lehtonen, Matti & Hirvonen, Janne & Jokisalo, Juha & Kosonen, Risto, 2025. "Decarbonizing a national energy system through electrification by sector coupling power, district heat, transport and buildings," Applied Energy, Elsevier, vol. 401(PB).
    24. Hu, Xiao & Zhang, Heng & Chen, Dongwen & Li, Yong & Wang, Li & Zhang, Feng & Cheng, Haozhong, 2020. "Multi-objective planning for integrated energy systems considering both exergy efficiency and economy," Energy, Elsevier, vol. 197(C).
    25. Fan, Wei & Tan, Qingbo & Zhang, Amin & Ju, Liwei & Wang, Yuwei & Yin, Zhe & Li, Xudong, 2023. "A Bi-level optimization model of integrated energy system considering wind power uncertainty," Renewable Energy, Elsevier, vol. 202(C), pages 973-991.
    26. Qiao, Yiyang & Hu, Fan & Xiong, Wen & Guo, Zihao & Zhou, Xiaoguang & Li, Yajun, 2023. "Multi-objective optimization of integrated energy system considering installation configuration," Energy, Elsevier, vol. 263(PC).
    27. Rämä, Miika & Pursiheimo, Esa & Sundell, Dennis & Abdurafikov, Rinat, 2024. "Dynamically distributed district heating for an existing system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 189(PA).
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